ABSTRACT
In the previous section, we gave our defence of the EU Rule of Combination. In this section, we describe Lara Buchak’s proposed alternative. To do this, we’ll illustrate the diff erence between expected utility and risk-weighted expected utility using a particular act as an example. We’ll fi rst describe the expected utility of that act, and then we’ll show how to defi ne its risk-weighted expected utility. Our example is the following act: h = {E
1 , x
1 ;… ;E
4 , x
4 } . The agent’s probabilistic
credences over the events E 1 ,… , E
4 and her utilities for the outcomes x
1 ,… , x
are given as follows:
Figure 1. The expected utility EU c,u(h) of h is given by the grey area.Note: It is obtained by
summing the areas of the four vertical rectangles: working from right to left, their areas are c(E1)u(x1),… , c(E4)u(x4) .
